Quadratic Equations

We want to calculate the value of x if x were this continued fraction:

On our way, we will see how quadratic equations are involved.

Last edited by Agnishom (2014-10-26 23:50:11)

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.''God exists because Mathematics is consistent, and the devil exists because we cannot prove it'I'm not crazy, my mother had me tested.

Re: Quadratic Equations

What is amazing is that the whole fraction in the large box and the part inside the smaller box is just the exact same since both constitute the same iterations infinite times.

Do you agree?

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.''God exists because Mathematics is consistent, and the devil exists because we cannot prove it'I'm not crazy, my mother had me tested.

Re: Quadratic Equations

Re: Quadratic Equations

Do you think that the whole continued fraction and the part inside the smaller box is just the same?

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.''God exists because Mathematics is consistent, and the devil exists because we cannot prove it'I'm not crazy, my mother had me tested.

Re: Quadratic Equations

Re: Quadratic Equations

Great!

On the basis of that, we can write it as this:

Can we?

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.''God exists because Mathematics is consistent, and the devil exists because we cannot prove it'I'm not crazy, my mother had me tested.

Re: Quadratic Equations

Re: Quadratic Equations

Do you know how to solve this?

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.''God exists because Mathematics is consistent, and the devil exists because we cannot prove it'I'm not crazy, my mother had me tested.

Re: Quadratic Equations

Re: Quadratic Equations

Great!

Use the quadratic formula from there onwards

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.''God exists because Mathematics is consistent, and the devil exists because we cannot prove it'I'm not crazy, my mother had me tested.

Re: Quadratic Equations

Do we know what the quadratic formula is?

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.''God exists because Mathematics is consistent, and the devil exists because we cannot prove it'I'm not crazy, my mother had me tested.

Re: Quadratic Equations

Re: Quadratic Equations

It is a shorthand formula that can solve *any* quadratic equation just by plugging values without the need of any intelligent thought!

Last edited by Agnishom (2014-10-27 01:17:34)

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.''God exists because Mathematics is consistent, and the devil exists because we cannot prove it'I'm not crazy, my mother had me tested.

Re: Quadratic Equations

Re: Quadratic Equations

Okay let me write down the formula here!

What is the value of a,b and c in this equation: x^2 +5x+6 =0?

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.''God exists because Mathematics is consistent, and the devil exists because we cannot prove it'I'm not crazy, my mother had me tested.

Re: Quadratic Equations

You will now.

Do you agree that every quadratic equation is reducable to the form in post 16?

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.''God exists because Mathematics is consistent, and the devil exists because we cannot prove it'I'm not crazy, my mother had me tested.

Re: Quadratic Equations

Re: Quadratic Equations

Well, it is.

Is x^2+5x+6 of that form?

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.''God exists because Mathematics is consistent, and the devil exists because we cannot prove it'I'm not crazy, my mother had me tested.

Re: Quadratic Equations

Re: Quadratic Equations

What are the values of a, b, and c?

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.''God exists because Mathematics is consistent, and the devil exists because we cannot prove it'I'm not crazy, my mother had me tested.

Re: Quadratic Equations

Re: Quadratic Equations

No, a=1. Do you agree?

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.''God exists because Mathematics is consistent, and the devil exists because we cannot prove it'I'm not crazy, my mother had me tested.